On the Intuitionistic fuzzy topological (metric and normed) spaces

In this paper, we define precompact set in intuitionistic fuzzy metric spaces and prove that any subset of an intuitionistic fuzzy metric space is compact if and only if it is precompact and complete. Also we define topologically complete intuitionistic fuzzy metrizable spaces and prove that any $G_{\delta }$ set in a complete intuitionistic fuzzy metric spaces is a topologically complete intuitionistic fuzzy metrizable space and vice versa. Finally, we define intuitionistic fuzzy normed spaces and fuzzy boundedness for linear operators and so we prove that every finite dimensional intuitionistic fuzzy normed space is complete.Comment: 16 page

What does successful social prescribing look like? Mapping meaningful outcomes

This study aimed to investigate and collate all the outcomes that are being experienced in link worker based social prescribing schemes. We found this reflects a large evidence gap where research money needs to be invested. Data from this study highlighted that VCSE organisations engaged with social prescribing are not receiving full attribution for their contribution to improving the health and wellbeing of people. Within the literature, there are a range of reports and research articles that support the use of community organisations and services. Little of this knowledge or impact, however, is contextualised within the terms of link worker based social prescribing schemes

Computational universes

Suspicions that the world might be some sort of a machine or algorithm existing ``in the mind'' of some symbolic number cruncher have lingered from antiquity. Although popular at times, the most radical forms of this idea never reached mainstream. Modern developments in physics and computer science have lent support to the thesis, but empirical evidence is needed before it can begin to replace our contemporary world view.Comment: Several corrections of typos and smaller revisions, final versio